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Finding the Fourth Proportional to 229,399.64, 344,041.02 and 71,644.04

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Solution

The fourth proportional to 229,399.64, 344,041.02 and 71,644.04 is: 107,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,399.64 : 344,041.02 = 71,644.04 : x
  2. Step 2: Convert to fraction form
    229,399.64/344,041.02 = 71,644.04/x
  3. Step 3: Cross multiply
    229,399.64x = 344,041.02 × 71,644.04
  4. Step 4: Simplify right side
    229,399.64x = 24,648,488,598.52
  5. Step 5: Solve for x
    x = 24,648,488,598.52/229,399.64
  6. Step 6: Final answer
    x = 107,447.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.